Hyperplane mean values of solutions of parabolic equations

DOI10.1007/BF02844275zbMath0704.35056OpenAlexW1986050204MaRDI QIDQ916889

Neil A. Watson

Publication date: 1988

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120372

zbMATH Keywords

representation theoremfundamental solutionextended maximum principlehyperplane mean valueslinear second order uniformly parabolic equations

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Second-order parabolic equations (35K10)

Cites Work

• Unnamed Item
• Solutions of parabolic equations with initial values locally in \(L^ p\).
• Classes of Subtemperatures on Infinite Strips
• Properties of Solutions of Weakly Coupled Parabolic Systems
• Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ
• Uniqueness and Representation Theorems for Parabolic Equations
• Representation Theorems and Fatou Theorems for Second-Order Linear Parabolic Partial Differential Equations

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